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Finding the Fourth Proportional to 8,427.50, 12,641.25 and 2,584.07

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Solution

The fourth proportional to 8,427.50, 12,641.25 and 2,584.07 is: 3,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.50 : 12,641.25 = 2,584.07 : x
  2. Step 2: Convert to fraction form
    8,427.50/12,641.25 = 2,584.07/x
  3. Step 3: Cross multiply
    8,427.50x = 12,641.25 × 2,584.07
  4. Step 4: Simplify right side
    8,427.50x = 32,665,874.89
  5. Step 5: Solve for x
    x = 32,665,874.89/8,427.50
  6. Step 6: Final answer
    x = 3,876.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.